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Finding the Fourth Proportional to 481.95, 722.12 and 410.13

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Solution

The fourth proportional to 481.95, 722.12 and 410.13 is: 614.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.95 : 722.12 = 410.13 : x
  2. Step 2: Convert to fraction form
    481.95/722.12 = 410.13/x
  3. Step 3: Cross multiply
    481.95x = 722.12 × 410.13
  4. Step 4: Simplify right side
    481.95x = 296,161.02
  5. Step 5: Solve for x
    x = 296,161.02/481.95
  6. Step 6: Final answer
    x = 614.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.